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Finding the Fourth Proportional to 545.56, 752.90 and 309.50

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Solution

The fourth proportional to 545.56, 752.90 and 309.50 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.56 : 752.90 = 309.50 : x
  2. Step 2: Convert to fraction form
    545.56/752.90 = 309.50/x
  3. Step 3: Cross multiply
    545.56x = 752.90 × 309.50
  4. Step 4: Simplify right side
    545.56x = 233,024.30
  5. Step 5: Solve for x
    x = 233,024.30/545.56
  6. Step 6: Final answer
    x = 427.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.